Superior domination polynomial of cycles

Authors

DOI:

https://doi.org/10.23755/rm.v47i0.819

Keywords:

Superior distance, superior domination, neighbourhood vertex, superior domination polynomial.

Abstract

Superior domination polynomial SD(G, x) is a polynomial in which the power of the variable denotes the cardinality of a superior dominating set and the total number of sets of same cardinality forms the coefficient of the variable. In this paper we find the SD(Cn, x) of cycle graphs. The results related to the polynomial SD(Cn, x) is stated and the proved.

References

S. Alikhani and Y. Hock Peng, "Introduction to domination polynomial of a graph," arXiv preprint arXiv:0905.2251, 2009.

F. Harary, "Graph theory," Narosa Publ. House, New Delhi, 2001.

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A.M. Ismayil and R. Tejaskumar, "Eccentric domination polynomial of graphs," Advances in Mathematics: Scientific Journal, vol. 9, pp. 1729-1739, 2020.

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K. Kathiresan and G. Marimuthu, "Superior domination in graphs," Utilitas Mathematica, vol. 76, p. 173, 2008.

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O. Ore, "Path problems," Theory of graphs, 1962.

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Published

2023-06-30

Issue

Vol. 47 (2023)

Section

Volume 47-2023

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